If you know any other problem, please put in the comment section.

- Let be a sequence in (0, 1) . Prove that iff
- Let be a continuously differentiable function such that . Prove that there exist some such that f(a) = 0.
- Let X be a metric space such that , A is an uncountable subset of X . Prove that X is not separable. Given {d(x, y) : } > 0
- Let the differential equation be y” + P(x) y’ + Q(x) y = R(x) where P, Q, R are continuous functions on [a, b] .